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Finding the Fourth Proportional to 205,292.85, 307,821.69 and 63,101.13

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Solution

The fourth proportional to 205,292.85, 307,821.69 and 63,101.13 is: 94,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,292.85 : 307,821.69 = 63,101.13 : x
  2. Step 2: Convert to fraction form
    205,292.85/307,821.69 = 63,101.13/x
  3. Step 3: Cross multiply
    205,292.85x = 307,821.69 × 63,101.13
  4. Step 4: Simplify right side
    205,292.85x = 19,423,896,477.51
  5. Step 5: Solve for x
    x = 19,423,896,477.51/205,292.85
  6. Step 6: Final answer
    x = 94,615.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.